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Finding the Fourth Proportional to 1,179.48, 1,627.77 and 707.39

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Solution

The fourth proportional to 1,179.48, 1,627.77 and 707.39 is: 976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.48 : 1,627.77 = 707.39 : x
  2. Step 2: Convert to fraction form
    1,179.48/1,627.77 = 707.39/x
  3. Step 3: Cross multiply
    1,179.48x = 1,627.77 × 707.39
  4. Step 4: Simplify right side
    1,179.48x = 1,151,460.61
  5. Step 5: Solve for x
    x = 1,151,460.61/1,179.48
  6. Step 6: Final answer
    x = 976.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.